Find roots of polynomial $$ p(x) = -x^4-3x^2+x-2 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.2856+0.8404i\\[1 em]x_2 &= 0.2856-0.8404i\\[1 em]x_3 &= -0.2856+1.5674i\\[1 em]x_4 &= -0.2856-1.5674i \end{aligned} $$Explanation
Polynomial $ -x^4-3x^2+x-2 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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